MATH 141 - PRECALCULUS

(SPRING 2023)

Email me (I encourage corrections!).  HOME

 

YOUTUBE VIDEO PLAYLISTS (optional)

• NEW PLAYLISTS FOR SPRING 2023

DAY 1: T (1/31) and DAY 2: Th (2/2)

https://www.youtube.com/playlist?list=PL5K97sZrlm845cFbnQTmm8Qoob7X_Qfcp

 

DAY 3: T (2/7) and DAY 4: Th (2/9)

https://www.youtube.com/playlist?list=PL5K97sZrlm87EMdyomrxMP-ArEOF8rj3E

 

DAY 5: T (2/14) and DAY 6: Th (2/16) – QUIZ 1A

https://www.youtube.com/playlist?list=PL5K97sZrlm87v8hu-6MiYFFq1FMqhhk5J

QUIZ 1A ON CH.0, HW DUE (DAY 6: Th (2/16)) –

READ THESE RULES!                               

http://www.kkuniyuk.com/Math141rulesForQuiz1A.pdf

 

FRIDAY (2/17) TO MONDAY (2/20): HOLIDAY (DOESN’T AFFECT US)

 

DAY 7: T (2/21) and DAY 8: Th (2/23)

https://www.youtube.com/playlist?list=PL5K97sZrlm85GEUqMg9ZbvdRBHmFnWoku

 

DAY 9: T (2/28) and DAY 10: Th (3/2) – QUIZ 1B

https://www.youtube.com/playlist?list=PL5K97sZrlm874cAusfmkm6QIB4zo3iW86

QUIZ 1B ON CH.1, HW DUE (DAY 10: Th (3/2)) – RULES SIMILAR TO QUIZ 1A, EXCEPT: COVERS CH.1, 60 POINTS, ABOUT 50 MINUTES

 

DAY 11: T (3/7) and DAY 12: Th (3/9)

https://www.youtube.com/playlist?list=PL5K97sZrlm87yyQAvabkvNzK_RunzIlOq

 

DAY 13: T (3/14) and DAY 14: Th (3/16)

https://www.youtube.com/playlist?list=PL5K97sZrlm86aVXIGEMqPhdDcGCyRFk5j

 

DAY 15: T (3/21) and DAY 16: Th (3/23) – TEST DAY

https://www.youtube.com/playlist?list=PL5K97sZrlm84wJ3IE4CTJUNSOAPbiOOpY

MIDTERM 2 ON CHS.2&3, HW DUE (DAY 16: Th (3/23)) –

READ THESE RULES!                               

http://www.kkuniyuk.com/Math141rulesForMidterm2.pdf

 

SPRING BREAK: M (3/27) TO F (3/31)

 

DAY 17: T (4/4) and DAY 18: Th (4/6)

https://www.youtube.com/playlist?list=PL5K97sZrlm85w5qUlvpJCJ8iGKbm1y17U

 

DAY 19: T (4/11) and DAY 20: Th (4/13)

https://www.youtube.com/playlist?list=PL5K97sZrlm84HZTCjbrG9lNOAQGrIoiGU

 

WITHDRAWAL DEADLINE: Fri. (4/14)

 

DAY 21: T (4/18) – TEST DAY and DAY 22: Th (4/20)

https://www.youtube.com/playlist?list=PL5K97sZrlm865KIYMcvXBv0w7Z01eiwux

MIDTERM 3 ON CH.4, HW DUE (DAY 21: T (4/18)) – RULES SIMILAR TO MIDTERM 2

 

DAY 23: T (4/25)

https://www.youtube.com/playlist?list=PL5K97sZrlm84tBAtdLc2an4Fr3XAcqt6V

 

DAY 24: Th (4/27) and DAY 25: T (5/2)

https://www.youtube.com/playlist?list=PL5K97sZrlm85blYd7Hb0PfvIiWMDFIAHk

 

DAY 26: Th (5/4) – TEST DAY

MIDTERM 4 ON CHS.5&6, HW DUE (DAY 26: Th (5/4)) – RULES SIMILAR TO MIDTERMS 2 AND 3

 

DAY 27: T (5/9)

https://www.youtube.com/playlist?list=PL5K97sZrlm85hvscpqJlgaBQcr3DE4Lbs

 

DAY 28: Th (5/11) and DAY 29: T (5/16)

https://www.youtube.com/playlist?list=PL5K97sZrlm86pS7ZQq8GI4u1Cehiw42j8

 

DAY 30: Th (5/18) and DAY 31: T (5/23)

https://www.youtube.com/playlist?list=PL5K97sZrlm85soccHDA6Tb6FH9MLtEzEb

 

DAY 32: Th (5/25) – TEST DAY

FINAL ON CHS.7-10, HW DUE (DAY 32: Th (5/25)) – FINAL IN ONE BIG 250-POINT PART (NOT TWO AS ON THE MIDTERMS), SCIENTIFIC CALCULATOR ALLOWED

 

ALEKS EXTRA CREDIT DUE: Sat. (5/27), 11:59pm

 

STUDENT RESOURCES / COVID-19 INFO

• General resources: http://www.sdmesa.edu/student-services/student-services/ss-home-page/Helpful%20Resources%20for%20Students.pdf

• Mesa Journeys / Student Services: http://www.sdmesa.edu/mesa-journeys/

• COVID-19 info, Tutoring, Library / LRC, Counseling, Student Health Services, DSPS, Laptops, etc. http://www.sdmesa.edu/covid19/

• COVID Resource list: tinyurl.com/MesaStudentResourcesCOVID19

• IT Help Desk: (619) 388-7000.

 

GOING ONLINE!

CANVAS: Discussion Boards and NetTutor!

 

I don’t do much with Canvas, but a student discussion board and a NetTutor link are there.

 

https://sdccd.instructure.com/login/canvas

 

Notes on using the Canvas site: Math 141 Canvas notes

 

ALEKS Extra Credit

(This review can especially help with the very difficult Chapter 0.)

YOU CAN PAY FOR AN ALEKS LICENSE.  http://www.aleks.com

I CAN SEND YOU A CLASS CODE.  Email me

GETTING STARTED:

ALEKS: Getting Started (.pdf)

Orientation Quick Tips (.pdf)

Orientation PowerPoint (.ppt)

Registration - No Code

IF YOU LIKE ALEKS, BUT YOU FIND THE PACE IN 141 TO BE TOO FAST, TRY THE MATH 15s!

These are great, 1-unit, online, ALEKS-based, self-paced refreshers that have helped many students. 15E is trig; 15F is college algebra. A No-Pass grade does not affect GPA, though it does appear on your transcript; it can be a problem if you are on academic probation. 15E includes 15D (geometry). Instead of enrolling in both 15E and 15F, contact the instructor, and they may be able to make arrangements with you to just enroll in one Precalculus class, though you may be facing material you have not seen yet.

These are offered at different times throughout the semester. You could take more than one in one semester! Get a good foundation for your classes!

http://classschedule.sdccd.edu/

 

Printing Suggestions for Typed Files

I recommend two-page-to-a-side and/or double-sided printing to save paper. Color printing is nice, but B&W printing is cheaper.

These are pdf files. You can get the free Adobe Reader at http://www.adobe.com. Get a version that is compatible with your system!

 

Syllabus:

Syllabus for Spring 2023

 

Homework Assignments

Instructions

#1-A: HW   Answers   (Ch.0 in my notes) (90 points)

#1-B: HW   Answers   (Ch.1) (60 points)

#2: HW   Answers   (Chs.2 and 3) (150 points)

#3: HW   Answers   (Ch.4) (150 points)

#4: HW   Answers   (Chs.5 and 6) (150 points)

#5: HW   Answers   (Chs.7-10) (250 points)

PolarGraphPaper (Ch.10; created using Mathematica with Microsoft Word)

 

Class Notes

Many students benefit from printing the notes for a lecture beforehand, reviewing them, and commenting on them in class.

You may want to take personalized sketch notes in class.

Creative Commons License: For attribution, simply mention my name and/or web URL somewhere if you are using huge chunks of the notes. I simply want due credit.

 

NOTES FOR QUIZZES 1A AND 1B

Notes for Quiz 1A and Quiz 1B (last revised 1/27/13)

Chapter 0: Preliminary Topics: (last revised 1/27/13)

NEW!! QUADRATIC FORMULA SONG! (SECTION 0.11): https://www.youtube.com/watch?v=IfpkQVyqK7c

Chapter 1: Functions

CORRECTION to 1.2.3! In the middle of page 1.2.3, -9 (instead of 9) is not in the domain of f.

MATH DANCES FOR GRAPHING!

http://9gag.com/gag/4419992/do-the-math-dance (correction: x^2 + y^2 = r^2)

http://www.seyedrezabazyar.com/fa/math-dances/

https://www.reddit.com/r/geek/comments/444shr/dancing_mathematician/ (see the dance!)

(The following notes will be revised for later semesters. Section and page references may be inconsistent with the new Chapters 0 and 1. Please Email me with comments/suggestions.)

NOTES FOR MIDTERM 2

Notes for Midterm 2

Chapter 2: Polynomial and Rational Functions

Chapter 3: Exponential and Logarithmic Functions

CARD SHARKS AND (NEARLY) EXPONENTIAL GROWTH:  https://www.youtube.com/watch?v=Fb7mN5MObLE&list=PL5K97sZrlm86aVXIGEMqPhdDcGCyRFk5j&index=2&t=7s

NOTES FOR MIDTERM 3

Notes for Midterm 3

Chapter 4: Trigonometry

Basic Trig IDs (handout in class): Basic Trig IDs (revised from 5.1 notes: 3/8/18)

VISUALIZING THE SIX BASIC TRIG FUNCTIONS:

http://www.kkuniyuk.com/TrigSixParts.pdf (revised 2/11/06)

http://imgur.com/oSq3D5j?r

NOTES FOR MIDTERM 4

Notes for Midterm 4

Chapter 5: Analytic Trigonometry

More Trig IDs (handout in class): Handout.

Chapter 6: Additional Topics in Trigonometry

KHAN ACADEMY ON EULER FORMULA. (Do you have emotion?)

https://www.youtube.com/watch?v=mgNtPOgFje0

NOTES FOR FINAL

Notes for Final

Chapter 7: Systems of Equations and Inequalities

Chapter 8: Matrices and Determinants

Chapter 9: Discrete Math

SECTION 9.4: KHAN ACADEMY ON INDUCTION: https://www.khanacademy.org/math/algebra-home/alg-series-and-induction/alg-induction/v/proof-by-induction

SECTION 9.5: VIDEOS AND PASCAL’S TRIANGLE MAGIC: CLICK ON Notes for Final

Chapter 10: Conics and Polar Coordinates [as time permits] (Ch.10 is mostly handwritten.)

ANIMATION ON CONICS:

https://www.youtube.com/watch?v=HO2zAU3Eppo

Corrections: (0:48-1:07) The double-nappe cone (or simply cone here should not be thought of as finite, so there are no bases nd there is no base perimeter. The term directrix is used elsewhere, especially when describing parabolas.

In previous semesters, the final was cumulative. For your information, here was the outline provided: Math141OldFinalOutline.pdf

 

Old Exams and Solutions (Fall 2022)

Disclaimer: Your exams might look very different from these! Lengths of exam times may be different.

If your printer is broken, you can ask me for printed hard copies in my office hours.

Quiz 1A   Solutions (1 hour and 15 minutes)

Chapter 0: Preliminary Topics

Quiz 1B   Solutions (50 minutes)

Chapter 1: Functions

Midterm #2   Solutions (50 minutes for Part 1; 1 hour and 20 minutes for Part 2) – see below

Chapter 2: Polynomial and Rational Functions

Chapter 3: Exponential and Logarithmic Functions

Midterm #3   Solutions (40 minutes for Part 1; 1 hour and 30 minutes for Part 2)

Chapter 4: Trigonometry

Midterm #4   Solutions (50 minutes for Part 1; 1 hour and 20 minutes for Part 2)

Chapter 5: Analytic Trigonometry

Chapter 6: Additional Topics in Trigonometry

Final   Solutions (2 hours and 20 minutes). Material covered in later terms may differ.

Chapter 7: Systems of Equations [and Inequalities]  (Sections 7.5, 7.6 not on Final.)

Chapter 8: Matrices and Determinants  (Sections 8.3, 8.5 not on Final.)

Chapter 9: Discrete Math

Chapter 10: Conics and Polar Coordinates

Current Exams and Solutions (Spring 2023)

Quiz 1A   Solutions (1 hour and 15 minutes)

Chapter 0: Preliminary Topics

Quiz 1B   Solutions (50 minutes)

Chapter 1: Functions

Midterm #2   Solutions (1 hour for Part 1; 1 hour and 10 minutes for Part 2)

Chapter 2: Polynomial and Rational Functions

Chapter 3: Exponential and Logarithmic Functions

Midterm #3   Solutions (40 minutes for Part 1; 1 hour and 30 minutes for Part 2); see below

Chapter 4: Trigonometry

Midterm #4   Solutions (50 minutes for Part 1; 1 hour and 20 minutes for Part 2)

Chapter 5: Analytic Trigonometry

Chapter 6: Additional Topics in Trigonometry

• Exams and solutions will be posted around the time they are graded.

Class Resources

WEB SITES, BOOKS, RESOURCES

TEST-TAKING TIPS; REDUCING TEST ANXIETY: Test.html   Test.pdf (pdf file)

FREE ONLINE BOOK (OPENSTAX PRECALCULUS): https://openstax.org/details/precalculus

 

FREE ONLINE BOOK (PRECALCULUS DEMYSTIFIED): http://libraryproxy.sdmesa.edu/login?url=http://search.ebscohost.com/login.aspx?direct=true&db=nlebk&AN=138326&site=ehost-live

FREE MATH AND SCIENCE WORKSHOPS!  http://www.sdmesa.edu/STEMworkshops

First Day

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Email me (I encourage corrections!)   HOME (all classes)